AC Circuits II: AC Power Generator

In summary, the problem involves an AC generator with an rms voltage of 110 V at 60.0 Hz. The circuit includes a 0.300 H inductor, a 5.80 μF capacitor, and a 236 Ω resistor. The impedance of the circuit can be calculated using the equation Z=[R^2+(XL-Xc)^2]^(1/2). Part B asks for the rms current through the resistor. Part C asks for the average power dissipated in the circuit. Part D asks for the peak current through the resistor. In order to solve parts E and F, the equations XL=2pifL and Xc=1/(2pifc) can be used to calculate
  • #1
OsDaJu
19
0

Homework Statement



A An AC generator supplies an rms voltage of 110 V at 60.0 Hz. It is connected in series with a 0.300 H inductor, a 5.80 μF capacitor and a 236 Ω resistor.
What is the impedance of the circuit?

B What is the rms current through the resistor?

C What is the average power dissipated in the circuit?

D What is the peak current through the resistor?

E What is the peak voltage across the inductor?

F What is the peak voltage across the capacitor?

G The generator frequency is now changed so that the circuit is in resonance. What is that new (resonance) frequency?

Homework Equations



Z=[R^2+(XL-Xc)^2]^(1/2)
XL=2pifL
Xc=1/(2pifc)

Part E: VL=[(2^.5)*Vrms]/Z
Part F: VL=[(2^.5)*Vrms]/Xc

The Attempt at a Solution



I need help for part E and F

I substituted the numbers in the equation and I got the wrong answer. Can someone point me in the right direction?

Xc=457.34
Vrms=110
Z=4.17×10^2
 
Last edited:
Physics news on Phys.org
  • #2
Vrms across C = Irms* Xc
Now what is the relation between peak voltage and rms voltage?
 
  • #3
Thank you!
 

Related to AC Circuits II: AC Power Generator

1. What is an AC power generator?

An AC power generator, also known as an alternator, is a device that converts mechanical energy into electrical energy. It uses the principle of electromagnetic induction to produce an alternating current (AC) output.

2. How does an AC power generator work?

An AC power generator works by rotating a coil of wire inside a magnetic field. As the coil rotates, the magnetic field induces an alternating current in the wire, which can then be used to power electrical devices.

3. What is the difference between AC and DC power?

AC power, or alternating current, constantly changes direction and magnitude, while DC power, or direct current, flows in only one direction. AC power is typically used for long-distance power transmission, while DC power is used for electronic devices.

4. What are the components of an AC power generator?

An AC power generator consists of a rotor (coil of wire), a stator (permanent magnet), a shaft, and a set of brushes and slip rings that connect the rotating rotor to the stationary stator.

5. What are the applications of AC power generators?

AC power generators are used in a variety of applications, including power plants, wind turbines, hydroelectric dams, and portable generators. They are also used in many household appliances, such as refrigerators, air conditioners, and washing machines.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
9
Views
9K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
15K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
1K
Back
Top